Search a number
-
+
10322232313 is a prime number
BaseRepresentation
bin10011001110100000…
…01100001111111001
3222122101002201202111
421213100030033321
5132114442413223
64424133132321
7513536345521
oct114720141771
928571081674
1010322232313
1144176a3a08
122000a8a0a1
13c866a0793
146dcc82681
1540630e30d
hex26740c3f9

10322232313 has 2 divisors, whose sum is σ = 10322232314. Its totient is φ = 10322232312.

The previous prime is 10322232293. The next prime is 10322232331. The reversal of 10322232313 is 31323222301.

10322232313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10322232331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9050097424 + 1272134889 = 95132^2 + 35667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10322232313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10322232373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5161116156 + 5161116157.

It is an arithmetic number, because the mean of its divisors is an integer number (5161116157).

Almost surely, 210322232313 is an apocalyptic number.

It is an amenable number.

10322232313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10322232313 is an equidigital number, since it uses as much as digits as its factorization.

10322232313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10322232313 its reverse (31323222301), we get a palindrome (41645454614).

The spelling of 10322232313 in words is "ten billion, three hundred twenty-two million, two hundred thirty-two thousand, three hundred thirteen".